Answer:
t= -1.33 recurring and -2
Step-by-step explanation:
3t²+4t+8=-6t
3t²+4t+6t+8
3t²+10t+8
This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.
-b±√(b²-4ac)/2a
Where a=3, b= 10 and c=8
-10±√(10²-4(3)(8))/2(3)
-10±√(100-96)/6
(-10±√4)/6
(-10±2)/6
-10+2/6 or -10-2/6
-8/6 or -12/6
-1.3333 recurring or -2
1800 laps in 12 weeks
1800/12 = 150 laps in 1 week
150/5 = 30 laps a day
30 laps in 45 minutes
x laps in 60 minutes
x = (30*60)/45 = 40 laps per hour
Given that the line segments NU and US can also be written as line segment NS then Point U would satisfy the Definition of Betweenness.
This simply means that Point U lies between Points N and S along the same line.
